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# Interpreting a Division Computation

Alignments to Content Standards: 6.NS.B.2

Use the computation shown below to find the products.

1. $189\times 16$
2. $80\times 16$
3. $9 \times 16$

## Solution

1. $189\times 16 = 3024$. The computation shows that $3024 \div 16$ is $189$ with a remainder of $0$. So it must be that $189\times 16 = 3024+0$.

2. $80\times 16=1280$. We can see this in the second step of the division algorithm.

3. $9 \times 16=144$. We can see this in the last step of the division algorithm.

#### bcohen says:

I love how this task asks for conceptual understanding of something usually taught as a rote procedure. To be successful with this task, students must make sense of the procedure and how place value is represented and abbreviated within it.